k-Bertrand判别法

k-Bertrand Criterion

正项级数的敛散性判别法中比较精细的有Raabe判别法、Gauss判别法和Bertrand判别法.在上述方法的基础上,给出了Raabe判别法、Gauss判别法和Bertrand判别法推广的统一形式,包括非极限形式、上、下极限形式以及极限形式,称之为k-Bertrand判别法.

The sharper criterions for convergence of positive series are Raabe criterion,Gauss criterion and Bertrand criterion.Based on the above convergence criterions,we give the unified form of the above convergence criterions,including the non-limit form,superior limit form and inferior limitform and the limit form,which is called k-Bertrand criterion.